Multiple choice

If α, ß are the roots of the equations x2 + px + q = 0, x2n + pnxn + qn = 0 and xn + 1 + (x + 1)n = 0, then 'n' is

  1. an integer

  2. an odd integer

  3. an even integer

  4. a negative integer

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The roots of the given equations relate to properties of roots of unity or symmetric polynomials. For the equations to hold simultaneously for roots alpha and beta, n must be an even integer to satisfy the symmetry and sign conditions.

Keep practicing — related questions